Problem 331E: For the following exercises, find f(x) for each function. 331. f(x)=x2ex Problem 332E: For the following exercises, find f(x) for each function. 332. f(x)=exx . Problem 333E: For the following exercises, find f(x) for each function. 333. f(x)=ex3Inx Problem 334E: For the following exercises, find f(x) for each function. 334. f(x)=e2x+2x Problem 335E: For the following exercises, find f(x) for each function. 335. f(x)=exexex+ex Problem 336E: For the following exercises, find f (x) for each function. Problem 337E: For the following exercises, find f(x) for each function. 337. f(x)=24x+4x2 Problem 338E: For the following exercises, find f(x) for each function. 338. f(x)=3sin3x Problem 339E: For the following exercises, find f(x) for each function. 339. f(x)=xx Problem 340E: For the following exercises, find f(x) for each function. 340. f(x)=In(4x3+x) Problem 341E: For the following exercises, find f(x) for each function. 341. f(x)=In5x7 Problem 342E: For the following exercises, find f(x) for each function. 342. f(x)=x2In9x Problem 343E: For the following exercises, find f(x) for each function. 343. f(x)=log(sec)x Problem 344E: For the following exercises, find f(x) for each function. 344. f(x)=log7(6x4+3)5 Problem 345E: For the following exercises, find f(x) for each function. 345. f(x)=2xlog37x24 Problem 346E: For the following exercises, use logarithmic differentiation to find dydx . 346. y=xx Problem 347E: For the following exercises, use logarithmic differentiation to find dydx . 347. y=(sin2x)4x Problem 348E: For the following exercises, use logarithmic differentiation to find dydx . 348. y=(Inx)Inx Problem 349E: For the following exercises, use logarithmic differentiation to find dydx . 349. y=xlog2x Problem 350E: For the following exercises, use logarithmic differentiation to find dydx . 350. y=(x21)Inx Problem 351E: For the following exercises, use logarithmic differentiation to find dydx . 351. y=xcotx Problem 352E: For the following exercises, use logarithmic differentiation to find dydx . 352. y=x+11x243 Problem 353E: For the following exercises, use logarithmic differentiation to find dydx . 353.... Problem 354E: [T] Find an equation of the tangent line to the graph of f(x)=4xe(x21) at the point where x = -1.... Problem 355E: [T] Find the equation of the line that is normal to the graph of f(x)=x5x . at the point where x =... Problem 356E: [T] Find the equation of the tangent line to the graph of x3xIny+y3=2x+5 at the point where x = 2.... Problem 357E: Consider the function y=x1/x for x > 0. Determine the points on the graph where the tangent line is... Problem 358E: The formula I(t)=sintet is the formula for a decaying alternating current. a. Complete the following... Problem 359E: [T] The population of Toledo, Ohio, in 2000 was approximately 500,000. Assume the population is... Problem 360E: [T] An isotope of the element erbium has a half-life of approximately 12 hours. Initially there are... Problem 361E: [T] The number of cases of influenza in New York City from the beginning of 1960 to the beginning of... Problem 362E: [T] The relative rate of change of a differentiable function y=f(x) is given by . 100f(x)f(x) . One... Problem 363E: For the following exercises, use the population of New York City from 1790 to 1860, given in the... Problem 364E: For the following exercises, use the population of New York City from 1790 to 1860, given in the... Problem 365E: For the following exercises, use the population of New York City from 1790 to 1860, given in the... Problem 366E: For the following exercises, use the population of New York City from 1790 to 1860, given in the... format_list_bulleted